Question

evaluate the following using the laws of exponent
A-(2/3)cube5 x(2/3) cube 2
B- (3/5)cube2 x(100/81)
pls step by step ​

Answer 1

Answer:

Your answers are below-

Step-by-step explanation:

(A)- (2/3³)⁵ x (2/3³)² = ?

According to the law of exponent = a^m^n = a^m*n

Therefore, (2/3)¹⁵ x (2/3)⁶ = ?

The next law of exponent stats that if a^m x a^n the we add the powers which means = a^m+n

Hence we add the powers so we get the answer as (2/3)²¹

(B)- (3/5³)² x 100/81 = (3/5³)² x (10/9)² {we write the square roots of 100/81}

Again as the powers are same we multiply the digits = (3x10/5x9³)

= (30/45³)² = 30/45⁶ {we multiply the powers here.}

you can then simplify it to 6/9⁶